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Defending the Axioms
Penelope Maddy
其他書名
On the Philosophical Foundations of Set Theory
出版OUP Oxford, 2011-01-27
主題Philosophy / GeneralMathematics / History & PhilosophyScience / Philosophy & Social AspectsPhilosophy / Logic
ISBN01916165329780191616532
URLhttp://books.google.com.hk/books?id=GgFREAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have played this role, so the question of how these axioms are properly judged takes on a central importance. Approaching the question from a broadly naturalistic or second-philosophical point of view, Defending the Axioms isolates the appropriate methods for such evaluations and investigates the ontological and epistemological backdrop that makes them appropriate. In the end, a new account of the objectivity of mathematics emerges, one refreshingly free of metaphysical commitments.